The Elisa test for the human immunodeficiency virus (HIV) that causes AIDS has been used in the screening of blood donations. As with most medical diagnostics test, the ELISA test is not infallible. If a person actually carries HIV, experts estimate that this test gives a positive result 97.7% of the time (the number is called the sensitivity of the test. If a person does not carry HIV ELISA gives a negative result 92.6% of the time. Suppose that 0.5% of the public carries HIV.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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The Elisa test for the human immunodeficiency virus (HIV) that causes AIDS has been used in the screening of blood donations. As with most medical diagnostics test, the ELISA test is not infallible. If a person actually carries HIV, experts estimate that this test gives a positive result 97.7% of the time (the number is called the sensitivity of the test. If a person does not carry HIV ELISA gives a negative result 92.6% of the time. Suppose that 0.5% of the public carries HIV.
Choose the appropriate statistical probability notation for the sentence.
If a person actually carries HIV, experts estimate that this test gives a positive result 97.7% of the
time.
ChoiceA : P(+result |HIV) = .977
ChoiceB : P(HIV |+result) = .977
ChoiceC : P(+result) = .977
ChoiceD : P(HIV) = .977
Choice E: None of the above.
A
C
Transcribed Image Text:Choose the appropriate statistical probability notation for the sentence. If a person actually carries HIV, experts estimate that this test gives a positive result 97.7% of the time. ChoiceA : P(+result |HIV) = .977 ChoiceB : P(HIV |+result) = .977 ChoiceC : P(+result) = .977 ChoiceD : P(HIV) = .977 Choice E: None of the above. A C
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